Hopefully I won't need pictures, that takes a lot time ;) (I might do a video if I can ever find my last few missing pieces to 100%). But as far as this star, the trick is getting the rock below the left conveyor, and then getting the cat turned around so you can face away from all the medusas.
The steps to get there are (starting from the second last purple flag):
- Step between the blue and purple flags until the rock is beside the ice (you should be under the ice)
- Slide up to land beside the rock
- Step on the left blue flag to recharge
- Step on the right blue flag
- Step up onto the conveyor to offset the medusa conveyor
- Step on and off the right blue flag until the rock is on the top-left conveyor spot.
- Step down and push the rock left off the conveyor, then back up and right to recharge again
- Move on and off the right flag until the medusas make an L (you should be standing on the flag when this happens, if not something has gone very wrong)
- Move left and push the leftmost column of medusas down
- Recharge on the right flag again
- Now head back down to the ice, but detour up through the left conveyor. This will offset the medusas again such that when you turn around to get between the ice and rock there will be a clear space in the middle.
- Go down, use the lower medusa conveyor to turn you cat around, and go straight back up, and push the star out.